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Finding the Fourth Proportional to 64,340.48, 96,487 and 22,209.84

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Solution

The fourth proportional to 64,340.48, 96,487 and 22,209.84 is: 33,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,340.48 : 96,487 = 22,209.84 : x
  2. Step 2: Convert to fraction form
    64,340.48/96,487 = 22,209.84/x
  3. Step 3: Cross multiply
    64,340.48x = 96,487 × 22,209.84
  4. Step 4: Simplify right side
    64,340.48x = 2,142,960,832.08
  5. Step 5: Solve for x
    x = 2,142,960,832.08/64,340.48
  6. Step 6: Final answer
    x = 33,306.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.